Monotonicity properties of generalized elliptic integrals with respect to the parameter
From MaRDI portal
Publication:2199301
DOI10.1016/j.jmaa.2020.124469zbMath1447.33012OpenAlexW3047132254MaRDI QIDQ2199301
Song-Liang Qiu, Qi Bao, Xiao-Yan Ma
Publication date: 16 September 2020
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.124469
monotonicityinequalitycomplete elliptic integralsnecessary and sufficient conditiondependence on parametergeneralized elliptic integrals
Related Items (7)
Monotonicity properties of Gaussian hypergeometric functions with respect to the parameter ⋮ A monotonicity theorem for the generalized elliptic integral of the first kind ⋮ Some general Wilker-Huygens inequalities ⋮ One answer to an open problem on the monotonicity of Gaussian hypergeometric functions with respect to parameters ⋮ Dependence on the parameter of generalized Grötzsch ring and generalized Hübner functions ⋮ Sharp approximations for complete \(p\)-elliptic integral of the second kind by weighted power means ⋮ Moduli of quadrilaterals and quasiconformal reflection
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Differentiation formulas of some hypergeometric functions with respect to all parameters
- Landen inequalities for zero-balanced hypergeometric functions
- Generalized Hersch-Pfluger distortion function and complete elliptic integrals
- Functional inequalities for modified Bessel functions
- Generalized Bessel functions of the first kind
- Generalized elliptic integrals and modular equations
- On Ramanujan asymptotic expansions and inequalities for hypergeometric functions
- On hypergeometric functions and function spaces
- Functional inequalities for the quotients of hypergeometric functions
- Monotonicity properties and inequalities for the generalized elliptic integral of the first kind
- Elliott's identity and hypergeometric functions
- Sharp power mean inequalities for the generalized elliptic integral of the first kind
- Precise estimates for the solution of Ramanujan's generalized modular equation
- Sharp bounds for generalized elliptic integrals of the first kind
- Generalized elliptic integrals
- The Gauss hypergeometric function \(F(a,b;c;z)\) for large \(c\)
- Sharp Landen transformation inequalities for hypergeometric functions, with applications
- Some monotonicity properties of generalized elliptic integrals with applications
- On generalized complete elliptic integrals and modular functions
- Functional Inequalities for Hypergeometric Functions and Complete Elliptic Integrals
- Asymptotic expansions and inequalities for hypergeometric function
- Landen inequalities for a class of hypergeometric functions with applications
- Infinite Products and Normalized Quotients of Hypergeometric Functions
- Ramanujan's Theories of Elliptic Functions to Alternative Bases
- Duplication inequalities for the ratios of hypergeometric functions
This page was built for publication: Monotonicity properties of generalized elliptic integrals with respect to the parameter